What is another way to summarize the outcome of this proof?
1
Given: AB II CD
A
B
4
6
5
Prove: 23 a 26
с
7
8
D
Statement
Reason
1. AB||CD
1. Given
2.23 27
2. Corresponding angles theorem
3. Vertical angles are congruent
3. 27 - 26
4. m23 = m27
m27 = m_6
5. m23 = m26
4. Definition of congruence
5. Substitution
6.23 - 26
6. Definition of congruence
Vertical angles are congruent.
B. If two lines are parallel, then alternate interior angles are
congruent.
C. Corresponding angles theorem.
D. If two lines are parallel, then alternate exterior angles are
congruent.
Answers
Answer:
Option B: If two lines are parallel, then alternate interior angles are
congruent.
Step-by-step explanation:
Notice that angles 3 and 6 are INTERNAL relative to the parallel lines, that is located in between the parallel lines. They are also alternate angles. Therefore, the correct answer is:
"If two lines are parallel, then alternate interior angles are congruent."
Related Questions
If the simple interest on $3000 for 3 years is $720 , then what is the interest rate?
Answers
Answer:
8%
Step-by-step explanation:
Starting Principal: $
3,000.00
Years:
3
Annual Interest Rate:
8
%
Results
Future Value, using...
Simple Interest: $
3,720.00
Annually Compounded Interest: $
3,779.14
There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon.
How many milliliters are in 3 gallons?
Answers
Answer:11,356
Step-by-step explanation: that is the answer! I’m sure
Answer:11.355
Step-by-step explanation:
A denotes an mn matrix. Determine whether the statement is true or false. Justify your answer. The row space of AT is the same as the column space of A.
Answers
Answer: true
Step-by-step explanation:
For an m*n matrix, the column space of A will be a space formed by the lineal combination of all the columns of A.
column space = a1*c1 + a2*c2 + ...
where a1, a2, ... are scalars, and c1 is the vector of column 1.
Then we should write:
Column space = a1*(A₁₁, A₂₁, A₃₁, ...) + a2*(A₁₂, A₂₂, A₃₂, ...) + ...
Now, the transpose is defined as:
[At]₁₃ = A₃₁
Here i used the element with subindex 3 and 1, but is the same for every subindex.
Notice that if A is m*n, then [At] is n*m
Now, the row space of [At] will be, same as before.
Row space = b1*r1 + b2*r2 + ...
Where b1, b2, ... are scalars and the r's are the vector of each row.
= b1*( [At]₁₁ , [At]₁₂, [At]₁₃, ...) + b2*([At]₂₁, [At]₂₂, [At]₂₃, ...) + ...
Now we replace each term of the transpose by the associated element in the original matrix.
= b1*( A₁₁, A₂₁, A₃₁, ...) + b2*(A₂₁, A₂₂, ...) + ....
If we take:
b1 = a1, b2 = a2, b3 = a3, ...
We will have that the row space of [At] is the same as the column space of A.
What is the best estimate of 157 divided by 2=
What is the best estimate of 108 divided by 5=
Answers
Answer:
157 divided by 2 is 78.5 round that to get 70
108 divided by 5 is 21.6 round that to get 22
Help
Brainliest in reward
Please name both angles
Answers
point A is located in which quadrant 1 2 3 or 4
Answers
Answer:
I THINK 2
Step-by-step explanation:
Answer: (-3, 5) : Quadrant 2
The chart below contains the results of a survey in which students were asked about their cell phone plan.
Cell Phones Plans
Plan
Students
No cell phone
20
Voice only
14
Voice and texting
12
Voice, texting, and data
4
What percent of the students surveyed have a phone plan with texting?
16%
24%
32%
68%
If you get it right you get the crown brain thing
Answers
Answer:
It is option C.
Step-by-step explanation:
I did the test.
Answer:
it c
Step-by-step explanation:
i did the unit test hope this helps :)
Is line / parallel to line m? Explain.
Note: Not drawn to scale
Answers
Parallel lines are defined to be two lines that will never intersect even when they go on infinitely. Think of it like railroad tracks. The rails must always be parallel, or the train will gets stuck. By observing lines L and M, you'll notice both lines make perfect railroad tracks, and they will never intersect. These lines are parallel.
8.
Andrew has $76.50. Elijah has $94.30. How much more money does Elijah have than
Andrew
Answers
Answer:
$17.80Step-by-step explanation:
This is a fairly simple question. All we need to do is find the difference between the two amounts.
$94.30 - $76.50 = $17.80
What is 82,199 rounded to the thousands
Answers
Answer:
82.20
Step-by-step explanation:
Two forces are acting on an object, one at 58 Newton's and the other at 83 Newton's.
The resulting force is 105 Newton's. What is the angle between the resulting force and
the larger of the two original forces?
Answers
A rectangular garden is divided into four sections. Some dimensions are shown in the diagram, and the distance from
point A to point Cis 16 ft.
12 it
8
15 ft
What is the distance from point A to point B in feet?
A. 8ft B.7ft c.9ft D.6ft
Answers
Answer:9 ft
Step-by-step explanation:
The requried measure of the AB is given as 7ft. Option B is correct.
What are Pythagorean triplets?In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.
Here,
From the diagram, applying Pythagoras' theorem to the right rectangle,
BC² = 15² - 12²
BC² = 81
BC = 9
Now,
AC = 16
AB + BC = 16
AB + 9 = 16
AB = 7 ft
Thus, the requried measure of the AB is given as 7ft. Option B is correct.
Learn more about Pythagorean triplets here:
brainly.com/question/22160915
#SPJ2
A 6-kilogram bag of cat food costs $21.54. What is the unit price?
Answers
Answer:0.27855153
A
−
0.04642525
kilograms per dollar
Step-by-step explanation:
Find the solutions to the equation below.
Check all that apply.
6x2 + 7x -5 = 0
A. x = 1/3
B. x = 5
c. x = -5/3
D. x = -1/3
E. x = 1/2
F. x = -2
Answers
Answer:
A and C
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero
It’s it A B C D please answer
Answers
Answer:
It is B. I hope this helps.
Step-by-step explanation:
I WILL MARK BRAINLIST
Question 9
Answers
Answer:
True
Step-by-step explanation:
How do break down what is the percentage of change in cost of the pizza
Answers
1) The membership fee of Math Club is P25. What is the total amount
paid by 1,252 members?
A. P 31,250
B. P 31,252
C. P 31,230
Answers
Answer:
it's actually none of those the answer I have is p 31,300
Which expression is equivalent to y^3-2y^2+y
Answers
Answer:
the first one i did it yesterday
is 0.75 repeating irrational or rational
Answers
Answer:
This is a rational decimal and is not a repeating decimal.
Step-by-step explanation:
Select each situation that can represent a proportional relationship
The price of buying x gallons of gas at $3 a gallon.
The total amount of weight a kitten gains in w weeks when it gains 4 ounces per week and started at a weight of 6 ounces.
The price of renting a scooter for m miles when it costs $0.75 per mile plus a base fee of $2.50.
The total amount of money a child earns from doing chores when she earns $10 a week for w weeks.
Plz help!
Answers
Answer:
The 1st one and the last one
Step-by-step explanation:
1. Find the distance from point P to QS
SHOW ALL OF YOUR WORK
S(0,8)
R(-3,5)
Q(-5,3)
P(1, 1)
Answers
Answer:
5.7 units
Step-by-step explanation:
The distance from point P to QS is the distance from point P (1, 1) to the point of interception R(-3, 5).
Use distance formula to calculate distance between P and R:
[tex] PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] P (1, 1) = (x_1, y_1) [/tex]
[tex] R(-3, 5) = (x_2, y_2) [/tex]
Plug in the values into the formula.
[tex] PR = \sqrt{(-3 - 1)^2 + (5 - 1)^2} [/tex]
[tex] PR = \sqrt{(-4)^2 + (4)^2} [/tex]
[tex] PR = \sqrt{16 + 16} [/tex]
[tex] PR = \sqrt{32} [/tex]
[tex] PR = 5.7 units [/tex] (to nearest tenth)
9. Solve the equation.
4(6 – x) + 4 = 2 (3x + 1) – 6
Answers
Answer:
x=3.2
Step-by-step explanation:
4(6 – x) + 4 = 2 (3x + 1) – 6
24 - 4x + 4 = 6x + 2 - 6
28 - 4x = 6x -4
-4x - 6x = - 4 - 28
-10x = - 32
divide both sides
x = 16/5 or x = 3.2
hope this helps :)
p – 22 < 40 . could you give me the answer and the steps thank you!
Answers
Answer:
the answer is 62
Step-by-step explanation:
ok so all you do is add 22 instead of subtracting 22
The expression factors as: (n4 + 3)(n4 + 3)
(n4 - 3)(n4 + 3)
(n4 – 3)(n4 – 3)
Answers
Answer:
(n 4)
Step-by-step explanation:
Answer:
B - the second one (on EDGE)
Step-by-step :
What is the solution to this equation?
3x-9 = 12
O A. x = 1
B. x = 7
O c. x = 9
O D. x = 63
Answers
Does anyone understand this?
Answers
Answer:
no looks confusing
Step-by-step explanation:
E
Learning Task 2. Give the reciprocal of the given fractions below.
Write your answer in your notebook.
6
1.
6.
2
8.
7
2. 7
7.
1
2
8
3.
8.
4
4
33-
5
als -|- ||-|-
5
4. 41
9.
5
6
5.
1
10. 1
54
5
5
A
Reciprocals represent two numbers whose product is one. Multi-6/8
Answers
The correct format of the options are
(1) 6/8 (6) 2/7
(2) 7/2 (7) 1/8
(3) 33[tex]\frac{4}{5}[/tex] (8) 4/5
(4) 41 (9) 5/6
(5) 54[tex]\frac{1}{5}[/tex] (10) 1/5
Answer:
Reciprocal are those number which when multiplied by the original number gives 1 as the result. eg [tex]\frac{6}{8}[/tex] reciprocal is [tex]\frac{8}{6}[/tex], on multiplication [tex]\frac{6}{8}[/tex]*[tex]\frac{8}{6}[/tex] =1
Reciprocal of the following are as follows
(1) [tex]\frac{8}{6}[/tex]
(2) [tex]\frac{2}{7}[/tex]
(3) 33[tex]\frac{4}{5}[/tex] =[tex]\frac{ 33*5 + 4}{5}[/tex] = 169/5 => reciprocal = 5/169
(4) 1/41
(5) 54[tex]\frac{1}{5}[/tex] => [tex]\frac{54*5 +1}{5}[/tex] = 271/5 => 5/271
(6) 7/2
(7) 8
(8) 5/4
(9) 6/5
(10) 5
GIVING BRAINLIEST IF CORRECT PLEASE HELP ASA[P
Answers
Answer:
Step-by-step explanation:
1: Green because it has more sections than the other colors
2: 4/8
Hope this helps!
Answer:
A) green
B) 4/8
brainliest please
a family rents a cottage for $79.95 a day for 7 days. about how much does the family pay for the cottage?
Answers
Hope this helped <3
Answer:
$560
Step-by-step explanation:
Since the family rents a cottage for 7 days, 79.95 dollars each day, we multiply 79.95 by 7 and get 559.65. Since the question asks about how much does the family pay, we round 559.65 to get $560.
